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Finding the Fourth Proportional to 588.06, 810 and 413.10

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Solution

The fourth proportional to 588.06, 810 and 413.10 is: 569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.06 : 810 = 413.10 : x
  2. Step 2: Convert to fraction form
    588.06/810 = 413.10/x
  3. Step 3: Cross multiply
    588.06x = 810 × 413.10
  4. Step 4: Simplify right side
    588.06x = 334,611
  5. Step 5: Solve for x
    x = 334,611/588.06
  6. Step 6: Final answer
    x = 569.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.